Shell-model calculation of neutrinoless double-$\beta$ decay of ${}^{76}$Ge

Abstract

In this article we present a more detailed version of our recent Rapid Communication [Phys. Rev. C 90, 051301(R) (2014)] where we calculate the nuclear matrix elements for neutrinoless double-$\beta$ decay of ${}^{76}$Ge. For the calculations we use a novel method that has perfect convergence properties and allows one to obtain the nonclosure nuclear matrix elements for ${}^{76}$Ge with a 1% accuracy. We present a new way of calculation of the optimal closure energy, using this energy with the closure approximation provides the most accurate closure nuclear matrix elements. In addition, we present a new analysis of the heavy-neutrino-exchange nuclear matrix elements, and we compare occupation probabilities and Gamow-Teller strength with experimental data.

11 pages, 12 figures, 4 tables, a more detailed version of our recent Rapid Communication [Phys. Rev. C90, 051301(R) (2014), arXiv:1411.1667]

References in corpus (17)

• Results on neutrinoless double beta decay of 76Ge from GERDA Phase I
• Phase space factors for double-$\beta$ decay
• Disassembling the Nuclear Matrix Elements of the Neutrinoless double beta Decay
• Energy density functional study of nuclear matrix elements for neutrinoless $\beta \beta$ decay
• Anatomy of nuclear matrix elements for neutrinoless double-beta decay
• The influence of pairing on the nuclear matrix elements of the neutrinoless double beta decays
• Nuclear matrix elements for double-β decay
• The 0nbb-decay nuclear matrix elements with self-consistent short-range correlations
• Limits on the neutrino mass from neutrinoless double-$\beta$ decay
• Nuclear Structure Relevant to Neutrinoless Double Beta Decay: 76Ge and 76Se
• Nuclear Structure Relevant to Neutrinoless Double Beta Decay: the Valence Protons in 76Ge and 76Se
• Neutrinoless double beta decay of 48Ca in the shell model: Closure versus nonclosure approximation
• Shell model analysis of competing mechanism to the double-beta decay of ${}^{48}$Ca
• Nuclear Structure Aspects of Neutrinoless Double Beta Decay
• Accurate shell-model nuclear matrix elements for neutrinoless double-beta decay
• Neutrinoless double-$\beta$ decay of ${}^{82}$Se in the shell model: beyond closure approximation
• Pair correlations in nuclei involved in neutrinoless double beta decay: 76Ge and 76Se

Cited by in corpus (21)

• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• Toward the discovery of matter creation with neutrinoless double-beta decay
• Neutrinoless double beta decay and neutrino mass
• Ab initio neutrinoless double-beta decay matrix elements for 48Ca, 76Ge, and 82Se
• The calculation of the neutrinoless double-beta decay matrix element within the realistic shell model
• Double Gamow-Teller transitions and its relation to neutrinoless $\beta \beta$ decay
• Towards complete leading-order predictions for neutrinoless double $\beta$ decay
• Generator-coordinate reference states for spectra and $0\nu \beta \beta$ decay in the in-medium similarity renormalization group
• Determining the leading-order contact term in neutrinoless double $\mathbf{\beta }$ decay
• Neutrinoless double-beta decay matrix elements in large shell-model spaces with the generator-coordinate method
• Quenching of nuclear matrix elements for $0\nu \beta \beta$ decay by chiral two-body currents
• Neutrinoless double-beta decay: combining quantum Monte Carlo and the nuclear shell model with the generalized contact formalism
• Shell model study on the possibility of using an effective field theory for disentangling several contributions to the neutrinoless double-beta decay
• Neutrinoless double-$\beta$ decay of ${}^{124}$Sn, ${}^{130}$Te, and ${}^{136}$Xe in the Hamiltonian-based generator-coordinate method
• Predicting the neutrinoless double-beta decay matrix element of ${}^{136}$Xe using a statistical approach
• Neutrinoless $\beta \beta$ decay nuclear matrix elements complete up to N${}^2$LO in heavy nuclei
• Examinations of the consistency of the quasiparticle random-phase approximation approach to double-$\beta$ decay of ${}^{48}$Ca
• Theoretical analysis and predictions for the double electron capture of ${}^{124}$Xe
• Effects of pairing strength on the nuclear structure and double-$\beta$ decay predictions within the mapped interacting boson model
• Nuclear matrix elements calculation for $0\nu \beta \beta$ decay of ${}^{124}$Sn using nonclosure approach in nuclear shell model
• The study of $0\nu \beta \beta$ decay of ${}^{136}$Xe using nonclosure approach in nuclear shell model